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Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0491-y
Abstract: In this article, some new efficient and accurate algorithms are developed for solving linear and nonlinear odd-order two-point boundary value problems. The algorithm in linear case is based on the application of Petrov–Galerkin method. For…
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Keywords:
generalized jacobi;
boundary value;
odd order;
value problems ... See more keywords
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Published in 2017 at "Electronics Letters"
DOI: 10.1049/el.2016.3036
Abstract: The orthogonal Jacobi polynomials are not suitable for the characteristic function in the continuous- and discrete-time filter designs because they are not fulfilling the basic conditions: to be pure odd or to be pure even.…
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Keywords:
modified jacobi;
approximation based;
filters approximation;
jacobi ... See more keywords
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Published in 2023 at "Axioms"
DOI: 10.3390/axioms12010055
Abstract: In this paper we formulate necessary conditions for the stability of certain quadrature methods for Mellin type singular integral equations on an interval. These methods are based on the zeros of classical Jacobi polynomials, not…
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Keywords:
jacobi polynomials;
jacobi;
quadrature methods;
singular integral ... See more keywords
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Published in 2023 at "Symmetry"
DOI: 10.3390/sym15020345
Abstract: The primary focus of this article is on applying specific generalized Jacobi polynomials (GJPs) as basis functions to obtain the solution of linear and non-linear even-order two-point BVPs. These GJPs are orthogonal polynomials that are…
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Keywords:
generalized jacobi;
jacobi polynomials;
even order;
operational matrix ... See more keywords